Solve the system of equations by graphing [tex] \left \{ {{y=- \frac{3}{2}x+2 } \atop {y=3x-7}} \right.[/tex] *Show all work

Answers

Answer 1
1) Graph of y = - (3/2)x + 2

That is a straightline with slope -3/2 and y-intercept  2

If you do not know how to graph it, you can make a table like this:

x             y = (-3/2)x + 2

-1            3/2 + 2 = 7/2

0              0 + 2 = 2

2              - 3 + 2 = -1

4              - 6 + 2 = - 4

2) Graph of y = 3x - 7

That is a straight line with slope 3 and y intercept  -7

If you do not know how to graph it you can make a table like this:

x         y = 3x - 7

-1         - 3 - 7 = - 10

0          0 - 7 = - 7

1          3 - 7 = - 4

2          6 - 7 = - 1

3         9 - 7 = 2

3) When you draw the two lines you will see that the intersect at x = 2, with the correspondant y = - 1.

That point of intercection is the solutions of the system (2, -1)

Related Questions

Find the product. Estimate to check if ur answer is reasonable

538 × 46=

Answers

538 x 46 = 2,168. If estimated needed it's 2,200 or 2,170
Hopefully it's the right answer.

What is descriptive statistics and inferential statistics?

Answers

Descriptive statistics uses data to provide descriptions of populations. Often this data is represented in the form of tables, charts, graphs, or even just numbers. Here, we organize (visual representation) and analyze data to describe a population.

Inferential statistics utilizes data in such a way that allows us to make predictions, generalizations, and inferences about a population from samples taken. Here, we can compare, predict, and test data in order learn about a population.

Hope this helps.

Descriptive statistics is a one type of statistics which involve generalization of conclusions from small selected samples.

Inferential statistic is atype of statistic which involve summarization of data in numerical form.

Find the percent change. Tell whether it is a percent increase or decrease. from 50 to 42

Answers

The answer would be percent decrease because if it started at 50 and turned to 40, it lowered since we know 50 is higher than 42 so it dropped by 8 since 8 divided by 50 0.16 and 0.16 times 100 EQUALS 16%
percent change = (new value - old value)/(old value) * 100

If the percent change is positive, it is an increase.
If the percent change is negative, it is a decrease.

percent change = (42 - 50)/(50) * 100 = -8/50 * 100 = -16%

It is a 16% decrease.

Alana bought a stock, which dropped 10% from the previous day. the total cost of her stock, with the price drop, was $253.10. Which equation could she use to find the price of the stock before the price drop?

A.)z=253.10+0.10

B.)0.10z=253.10

C.)z+0.10(z)=253.10

D.)z-0.10(z)=253.10

Answers

The price of the stoke is denoted with Z.
Alana's total cost with the price dropped included is $253.10. This means that we can write the equation:
total cost with the price drooped=price of the stock before the price dropped - the dropped price

$253.10=Z-0.10(Z)

or, rewritten:

D.)z-0.10(z)=253.10
i believe it is  
z-0.10(z)=253.10

the weight of a rectangular block of metal varies jointly as its length, width and thickness. If the weight of a 13dm by 8dm by 6dm block of aluminum is 18.2kg, find the weight of a 16dm by 10dm by 4dm block of aluminum??

Answers

18.56kg. 18.6kg=rounded off hope this is helping and is right

HELP PLEASE
What Property Of Addition is this ?

3 + (8 + a) = (8 + a) + 3

Answers

I think that is commutative property.
The answer for your question would be Commutative Property because if u solve 3 + (8 + a) and (8 + a) + 3 they both have the same sum, just different places and as a result its still a + 11 which is there solution. *I take no credit for the pic below I got it off google.

Which conjunction or disjunction is equivalent to the following inequality?
|a - 9| ≤ 4

a - 9 ≤ 4 AND a - 9 ≤ - 4

a - 9 ≤ 4 AND a - 9 ≥ - 4

a - 9 ≤ 4 OR a - 9 ≤ - 4

a - 9 ≤ 4 OR a - 9 ≥ - 4

Answers

Use the general definition:

|x - a| ≤ k => - k ≤ x - a ≤ k

So, |a - 9| ≤ 4 => - 4 ≤ a - 9 ≤ 4

Which is a - 9 ≥ - 4 and a - 9 ≤ 4.

That is the second option.

Answer: a - 9 ≤ 4 and a - 9 ≥ - 4

Answer:

a - 9 ≤ 4 and a - 9 ≥ - 4

Step-by-step explanation:

Which of the following represents x =1/2 y written in general form?

Answers

general form= x-1/2 y=0             

Answer with explanation:

The given expression is

  [tex]x=\frac{1}{2}\times y[/tex]

Which is equation in two variables , x and y , representing a line.

The general form of line is,

   Ax +B y +C=0

Writing the above equation symmetrical to general form of line

→  2 x=y

2 x-y=0, is the general form.

Suppose a triangle has sides 3, 4, and 5. Which of the following must be true?
A.The triangle in question is not a right triangle.
B.The triangle in question is a right triangle.
C.The triangle in question may or may not be a right triangle.

Answers

Answer: B.The triangle in question is a right triangle.

Step-by-step explanation:

The Converse of Pythagoras theorem says that if the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides then the triangle is a right triangle.

The given sides of triangle : 3, 4, and 5.

Here, Measurement of largest side = 5

Then , [tex]5^2=25[/tex]

Also, [tex]4^2+3^2=16+9=25[/tex]

[tex]\Rightarrow\ 5^2=4^2+3^2[/tex]

Hence, by the converse of Pythagoras theorem, the triangle in question is a right triangle.

Answer:

HAS TO BE A RIGHT ANGLE

Step-by-step explanation:

…..

Which of these is the statement of the zero product rule?
A. If a • b = 0, then either a = 0 or b = 0, but not both.
B. If a • b = 0, then a = 0 and b = 0.
C. If a • b = 0, then a = 0.
D. If a • b = 0, then either a = 0 or b = 0, or both.

Answers

Answer: Hello mate!

If you have any real number A; you always have that:

A*0 = 0

this means that the product between a number A and zero, is equal to zero, and this is for every number. (note that A can be equal to 0, and 0*0 = 0)

Then if a*b = 0, you know that, at least one of the numbers is equal to zero, and there is possible that both numbers are equal to zero.

And with this information, you can see that the right answer is D.

"if If a • b = 0, then either a = 0 or b = 0, or both."

because:

0*b = 0

a*0 = 0

0*0 = 0

Final answer:

The zero product rule states that if the product of two multiplicands equals zero, then at least one of the multiplicands must be zero, which is correctly represented by option D.

Explanation:

The correct statement of the zero product rule is: If a • b = 0, then either a = 0 or b = 0, or both. This is accurately represented by option D. The zero product rule is a foundational concept in algebra that asserts when the product of two or more numbers or variables equals zero, at least one of the multiplicands must be zero. It's crucial for solving equations where a product is set equal to zero, as it allows for each factor to be set equal to zero and solved individually. This rule is pivotal in finding solutions to polynomial equations, among others. For example, in the equation (x + 2)(x - 3) = 0, applying the zero product rule we set each factor equal to zero: x + 2 = 0 or x - 3 = 0, leading to the solutions x = -2 or x = 3, respectively.

Share £24 in the ratio 3:5

Answers

3:5.....added = 8

3/8(24) = 72/8 = 9 <=
5/8(24) = 120/8 = 15 <=
3 + 5 is the whole so multiply the pieces by the whole:

3/8 * 24 = 9
5/8 * 24 = 15

Hope this helps!

The graph shows the value of a car at different years after Joanna purchased it.

Which answer is the best estimate for the average rate of change between Year 9 and Year 14?



−$75/year
−$130/year
−$250/year
−$325/year

Answers

Answer:

the answer is 130 year.

Step-by-step explanation:


Answer:

I can verify that this answer is correct!

The Witches coven are making a potion and Ethel, Glinda, Locasta and Circe each add a different ingredient. When the potion is finished, there is 1/4 of the bat blood left, 1/3 of the knotgrass, 1/2 of the moonstone and 5/8 of the unicorn hair. Ethel used the most. Glinda used the least. Locasta used more than Circe. Who used the moonstone?

Answers

Circe. Given that the four witches each added a different ingredient and since the absolute amount of each ingredient isn't mentioned, I will assume that "most", "least" and other comparisons are referring to fractions. So first, let's order the ingredients from least to most in terms of fractions. The easiest way to compare them is to calculate the least common denominator for the 4 fractions involved and convert all the fractions to use that common denominator. For 4 and 3, the LCD is 12. And 12 works ok for 2, but it won't work for 8. The LCD for 12 and 8 is 24 and that will work for all of the fractions. Bat Blood 1/4 - 6/24 Knotgrass 1/3 - 8/24 Moonstone 1/2 - 12/24 Unicorn Hair 5/8 - 15/24 So we now have the ingredients properly sorted by how much is left over, so the most used will be the 1st in the list and the least used will be the last. Now let's look at who used what. "Ethel used the most." Which would mean that Ethel used the Bat Blood. "Glinda used the least" Which would mean that Glinda used the Unicorn hair. "Locasta used more than Circe" Circe hasn't been mentioned yet, but there's only 2 ingredients that haven't been claimed. So it's safe to say that Locasta used the most used of the two ingredients unclaimed. And that would be Knotgrass. So the final question is "Who used the moonstone?" and there's only 1 witch that hasn't been assigned an ingredient. And that witch is Circe. So Circe used the moonstone.

The moonstone was used by [tex]\fbox{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

Further explanation:

It is given that a potion is prepared by a group of witches. The members in the group are Ethel, Glinda, Locasata and Circe.

The ingredients used in the preparation of the potion are bat blood, knotgrass, moonstone and unicorn hair.

Each member of the group add a different ingredient which means that no two member of the group add the same ingredient.

As the preparation of the potion is finished it is observed that the [tex]\dfrac{1}{4}th[/tex] of the bat blood is left, [tex]\dfrac{1}{3}rd[/tex] of the knotgrass is left, [tex]\dfrac{1}{2}nd[/tex] of the moonstone is left and [tex]\dfrac{5}{8}th[/tex] of the unicorn hair is left.

From the above statement it is concluded that [tex]25\%[/tex] of the bat blood is left, [tex]33.33\%[/tex] of the knotgrass is left, [tex]50\%[/tex]of the moonstone is left and [tex]62.5\%[/tex] of unicorn hair is left.

Therefore, the percentage of ingredients used in the preparation of the potion are as follows:

Bat blood: [tex]75\%[/tex] is used

Knotgrass: [tex]66.67\%[/tex] is used

Moonstone: [tex]50\%[/tex] is used

Unicorn hair: [tex]37.5\%[/tex] is used

As per the question Ethel used the most so, the ingredient bat blood was used by Ethel.

As per the question Glinda used the least so, the ingredient unicorn hair was used by Glinda.

It is given that Locasta used more than Circe so, the ingredient knotgrass was used by Locasta and moonstone was used by Circe.

Therefore, the ingredient moonstone was used by [tex]\fbos{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

Learn more:

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Percentages and Fraction

Keywords: Percentages, fraction, Ethel, Glinda, Locasata, Circe, potion, bat blood, knotgrass, moonstone, unicorn hair, numbers, witches, coven, simplification.

(c)100 pts Mrs. Carothers looked at another hotel. She waited a week before she decided to book nights at that hotel, and now the prices have increased. The original price was $1195. The price for the same room and same number of nights is now $2075. What is the percent increase? Round to the nearest whole percent. Explain and Show your work.

Answers

2075 - 1195 = 880
880 / 1195 * 100
= 73.64
= 74% (Round to the nearest whole percent)

it's increased 74%
2075-1195=880
(880/1195)×100=73.64%

Find the measure of <1 https://dlap.gradpoint.com/Resz/~Oiy9AAAAAAAalw2BXk3OdA.9zC7krSp46P2biI_hAq6AC/213679,9DE,0,0,0,0,0/Assets/testitemimages/geometry_b/area/mc050-1.jpg

Answers

The measure of angle 1 is 60* since it is 1/6 of 360*.

what formula can be used to describe the sequence ?

Answers

I think this is the 3 one... can i have brainliest?
Answer:

The  formula which can be used to describe the sequence is:

                [tex]f(x+1)=2f(x)[/tex]

Step-by-step explanation:

The sequence is given by:

         [tex]-2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....[/tex]

The terms of the sequence could also be written as:

[tex]\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....[/tex]

This means that the first term of the sequence is:

[tex]f(1)=\dfrac{-8}{3}[/tex]

The second term of the sequence is:

[tex]f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)[/tex]

[tex]f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)[/tex]

and so on.

                 Hence, the formula is given by:

           [tex]f(x+1)=2f(x)[/tex]

is the function f(x)=4-7x^5 a polynomial function? if so state its degree and leading coefficient

Answers

Answer:

Degree would be 5 and leading coefficient is -7

Step-by-step explanation:

To identify the leading look for the number with the biggest power. The degree is the power and the leading is the main number.

Final answer:

Yes, the function f(x) = 4 - 7x^5 is a polynomial function with a degree of 5 and a leading coefficient of -7.

Explanation:

Yes, the function f(x) = 4 - 7x5 is a polynomial function.

A polynomial function is a function where the variable (x) is raised to a non-negative integer power and multiplied by coefficients. In this case, x is raised to the power of 5 which is a non-negative integer.

The degree of a polynomial function is the highest power of the variable. In this case, the degree of the function is 5.

The leading coefficient is the coefficient of the term with the highest power of the variable. In this case, the leading coefficient is -7.

Learn more about Polynomial function here:

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A sequence is defined recursively by the formula f(n + 1) = f(n) + 3 . The first term of the sequence is –4. What is the next term in the sequence?

Answers

Answer:

the next term is -1

Step-by-step explanation:

A sequence is defined recursively by the formula

[tex]f(n + 1) = f(n) + 3[/tex]

The first term of the sequence is –4.

When n=1 then f(1)=-4

Now we find out the next term

We need to find f(2)

To find f(2) plug in 1 for n in the recursive formula

[tex]f(n + 1) = f(n) + 3[/tex]

[tex]f(1 + 1) = f(1) + 3[/tex]

f(1) is -4

[tex]f(1 + 1) = -4 + 3[/tex]

[tex]f(12) =-1[/tex]

So the next term is -1

Answer:

b. -1

Step-by-step explanation:

Can someone please graph this equation? 5-8x =16-8x

Answers

First, we need to isolate x. We can do this by using inverse operations.

5 - 8x = 16 - 8x
Add 8x to both sides.
5 + 0 = 16
5 = 16

This line is not possible to graph.

At the beginning of the week, Naveen has 87 trading cards. On Monday, he gets 9 more. On Tuesday, he gives 16 away. On Wednesday, he is given 3 by a friend. On Thursday, he sells all of his cards to a collector. The collector pays him a rate of c for every card that Naveen has. If Naveen earns $124.50 from the sale, what is c, the rate that the collector pays for each card?
$1.08
$1.50
$41.50
$83.00

Answers

the answer to your problem
is
$1.50

The answer is $1.50
87+9= 96
96-16=80
80+3= 83
$124.50/ 80= $1.56 per card,
$1.50 is the closest option to the exact answer

What two numbers have the product of -135 and the sum of 6?

Answers

Step 1: Find factors of 135 

1 and 135
3 and 45
5 and 27
9 and 15

Remember the rules for multiplication involving negatives:

Multiplying a negative with a negative will always be positive.
Multiplying a negative with a positive will always be negative. 

So in order for the product to be -135, one number of each factor pair will need to be negative. 

Step 2: Figure out which factor pair will add together to get the sum of 6
(Remember at least one from each pair will be negative)

Part A: 
1 + (-135) = -134
3 + (-45) = -42
5 + (-27) = -22
9 + (-15) = -6

Part B:
135 + (-1) = 134
45 + (-3) = 42
27 + (-5) = 22
15 + (-9) = 6

(Knowing that the sum of adding a larger negative number to a smaller positive number will be negative, will make this a bit faster because you would just skip to Part B) 

The sum of 15 and -9 is 6. So there is the answer.

You can also check it, just to make sure it's the correct answer.

15 × (-9) = -135
15 + (-9) = 6

Convert 30 feet per second to miles per minute.

5280 ft = 1 mi



Round to the nearest hundredth.

Enter your answer in the box.


____mi/min

Answers

30 feet per second x 60 = 1,800 feet per minute

1,800 feet per minute / 5280 = 0.34 miles per minute


Help pleaseeeeeeeeeeeeeeeeeeeeeee

Answers

So, I drew a diagram, and the angles appeared in the following order of size: ∠B,∠A,∠C. Hope this helped!

I have time until Friday, December 1. Please help me!! I’m really confuse with problem. Question is “Find the measure of the angle marked «X» ” Thank u in advance!!!!!

Answers

ΔBDA should = 180°
∠D + 60 + 50 = 180
∠D + 110 = 180
∠D + 110 (-110) = 180 (-110)
∠D = 70
Due to vertical angles (theorem?), the ∠FDE is also 70°

to find ∠DFE, find ∠BDF
∠BDF = 180 - 70 (this 70 is from ∠D)
∠BDF = 110

∠BFD = 180 - 110 - 20
∠BFD = 50


∠D = 70

ΔFDE = x + 70 + ∠F

ΔAD'E = 180
∠D' = 70

∠DFC = 110
angle bisector states that it makes two equal angles
110/2 = 55
∠DFE= 55

180 - 70 - 55 =
180 - 125 = 
55
x = 55°

I'm hoping that this is right
& hope this helps

What is the answer to this math problem below:

Answers

the answer is 5/6 or 0.83
okay so first you flip one fraction and multiply
x+8/2 * 5/3x+24
then simplify
3x+24 = 3(x+8)
now cancel like terms
(x+8 cancels) / 2 * 5 / 3 (x+8 cancels)
you are left with
2*5/3 
10/3
or 3 1/3

A ringtone company charges $9 a month for the service plus $1.25 for each ringtone downloaded.

What is the graph of the equation that models the total fees per month?

Answers

The answer is C because the graph has to start at 0 because it won't be until the first month where you will need to pay the 9 dollars a month plus the 1.25 service fee
 

Which value is equivalent to x+4/4+x

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

Given that:

[tex]\frac{x+4}{4+x}[/tex]

Using commutative property, 4+x = x+4,

so

[tex]\frac{x+4}{x+4}[/tex]

Both numerator and denominator has same value, hence they could be cancelled.

So,

[tex]\frac{x+4}{x+4} = 1[/tex]

Hence the answer is 1 :   Answer  

Hope it will help :)

Answer:

c

Step-by-step explanation:

the answer is 1

52 thousand in scientific notation

Answers

52000 in scientific notation = 5.2 × 104

The scientific form of the number 52 thousand is 5.2×10⁴.

What is scientific notation?

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number 52 thousand in standard form which is, 52000.

Now, The base would be 5 and the rest part would be in decimals raised to an appropriate exponent which is,

= 5.2×10⁴.   (as we have moved the decimal 4 places left)

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A fireworks company has two types of rockets called Zinger 1 and Zinger 2. The polynomial -16t2 + 150t gives the height in feet of Zinger 1 at t seconds after launch. The polynomial -16t2 + 165t gives the height of Zinger 2 at t seconds after launch. If the rockets are launched at the same time and both explode 6 seconds after launch, how much higher is Zinger 2 than Zinger 1 when they explode?

Answers

Substitute the value t = 6 into both equations in turn

f(Z₁) = -16t² + 150t
f(6) = -16(6)² + 150(6)
f(6) = -16(36) + 900
f(6) = 324 feet

f(Z₂) = -16t² + 165t
f(6) = -16(6)² + 165(6)
f(6) = 414 feet

The height of Zinger 2 minus the height of Zinger 1 = 414 - 324 = 90 feet

Answer: Zinger 2 is 90 feet higher than Zinger 1

Are number 2,3,5,7 and 8 correct?

Answers

Short Answers (see section below this one for further explanation):

Reason 2: Same Side Interior Angle Theorem

Reason 3: Definition of Supplementary

Reason 5: Definition of Congruence

Reason 7: Definition of Supplementary

------------------------------------

Explanation:

Reason 2: The "Same Side Interior Angle Theorem" is the idea that if we know two lines are parallel, then the interior angles on the same side of the transversal line will be supplementary (add to 180 degrees). In other words, the two angles can be combined to form a straight angle

Reason 3: If we're told two angles are supplementary, then by definition it means they add to 180 degrees.

Reason 5: If two angles are congruent, then they have the same measure (eg: both are 60 degrees)

Reason 7: This is the reverse of reason 3, more or less. If we know two angles add to 180 degrees then we can say they are supplementary. When it comes to definitions we can reverse it (i.e, if P, then Q reverses to if Q then P)
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